## Discussion

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### Solving Absolute Value Equations

The absolute value of a number is its distance from 0.

The absolute value of x is equal to x if x is greater than or equal to 0; otherwise, it is equal to –x.

Use this definition of absolute value to solve equations involving absolute values. Split the original equation |x| = a into two different possibilities, or cases, based on the definition: x = a and x = --a. Solve each one and combine the solutions.

Some equations have no solutions.

Always check all of the solutions. Some may not satisfy the original equation and must be discarded.

### Solving Absolute Value Equations

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

- Intro 0:00
- Absolute Value Expressions 0:10
- Example: Positive Distance
- Absolute Value Equations 1:07
- Examples
- No Solutions 2:54
- Example: Empty Set
- Number of Solutions 3:56
- Examples
- Lecture Example 1 6:42
- Lecture Example 2 8:54
- Additional Example 3
- Additional Example 4

1 answer

Last reply by: Taylor Wright

Tue Jun 25, 2013 11:55 PM

Post by Taylor Wright on June 25, 2013

At 5:50

How is the absolute value of -3 not equal to 3 ?